Below is a list of the DRP presentations given at the completion of the Spring 2022 semester. Click here to learn more about the DRP.
Triple Matching Mania ®: Modular Arithmetic and the Game of SET
Graduate Mentor: Arianna Zikos
Mentee: Orly Meyer
The game of SET is card game with a specialized deck where each card has four attributes (color, shape, number, and shading) with three options for each. A SET is formed between three cards when the cards have either all different or all of the same characteristic for each attribute. SET can be understood through many disciplines such as geometry, algebra, combinatorics, and probability. This talk will focus on how modular arithmetic can be used to reveal a new game, the End Game, within the original game of SET.
Hide Abstract
Prime Decomposition of Knots
Graduate Mentor: Justin Bryant
Mentee: Michael Horzepa
A knot is a closed curve in 3D-space. In this talk I will show how surfaces can be generated from knots and how these surfaces allow the notion of genus to be applied to knots. Then, using a notion of connected sum, which one may think of as slicing open two knots and connecting the loose ends, we will show that genus is exactly additive on this operation, and show the consequences that result from this.
Hide Abstract
A Partial Order of Knots
Graduate Mentor: Justin Bryant
Mentee: Nick Franczak
We follow Kouki Taniyama’s proof to present a partial order on the set of all classical knots.
Hide Abstract
